Most appropriate pricing will use the exact time to expiry.
OVML is neither a trading tool (FXGO would be at Bloomberg) nor an order management system (
TOMS for sell-side,
AIM for buy-side at Bloomberg).
OVME (for equity) offers that setting, but by default it is off.
OVML only has a setting to price the deal at the expiry date. Other than that, it uses only full days to eypiry. I can only guess the exact reason but likely it was a simple cost-benefit decision that was made when this was implemented. Bloomberg offers the aforementioned systems and golden copy intraday snapshots (BVAL) as premium systems.
OVML by default) will price every exotic deal with Vanna Volga, which is very outdated. If you pay extra, you get access to SLV as well as some additional features (depending on numerous add-ons with different price tags for each).
I think you are somewhat overcomplicating matters here. What you see for FX quotes (on Bloomberg
OVDV) are only indicative over-the-counter (OTC) quotes, which in turn are by default going through the Bloomberg generic (BGN) algorithm. This is what you see on
OVDV as well as
OVML. These quotes have a specific cut-off. So they do imply an expiry time at say NY 10am.
If you now switch to an expiry at say NY 5pm you will get interpolated (hence white) values to account for the difference in time to expiry.
Either way, these quotes are not executable and simply indicative for what the market may quote, if you request a quote (RFQ). Since the cut-off is defined in the quote, market makers who contribute a quote will usually have that in mind. If you want to be certain, you will need to switch to a market maker of your choice and reach out to them, to get a clear answer if they accurately take this into account.
However, if you go back in time, Bloomberg (without additional premium services) will anyhow ONLY show you a single time (5pm NY) because intraday pricing is not available. That is why it does not matter what time you enter on
OVML (as long as you are before 5pm NY).
My machine is currently set to GMT+2 which means that only after 11pm do I flip past 5pm NY. Therefore, at 11:59pm, it shows 0 days and a different exchange rate, which is the closing price according to BGN of the next day (HP is not showing all decimals, which is why you see 0.9943).
Desktop services at Bloomberg are not designed for intraday pricing (especially not historically). During a given day, you get constant updates, reflecting the current market data.
Turning to equity, if you look at
OVME, you also see OTC pricing. The IVOL is computed from listed options but
OVME (unless you load it with a specific listed option ticker) will also be an OTC pricer. It uses the same logic, meaning you have only access to end of day prices. Even if you set
OVME to use exact time to expiry, it will only change the $t$ in Black Scholes. Spot, IVOL and everything else is constant. So the only reason the computed price changes is that $t$ changes.
If your trade time goes back prior to the latest update of
OVDV the day before, it flips to the previous day (even if it means over a weekend!). The reason
OVDV has only specific set times is that it is quite complex to compute a full vol surface from listed option prices. The values do not match exactly because the tenor is from listed expiry dates and even with standard tenors you cannot go below 1W on BBG. Also, the strike is not ATM (which also ultimately depends on market data).
In any case, if your set time goes past the last available time at the previous day, you flip to the next days end of day surface (22nd of August here) and use that value for the entire day until you go past the time where the last available surface was created. After that, it flips over to the next days end of day value for IVOL.
I think the bottom line is that Bloomberg's desktop applications are not designed for anyone who needs that much detail and accuracy. Nonetheless, Bloomberg's tools are fairly complicated and automate almost everything (from data collection, to surface inter- and extrapolation, to modelling; for FX you can even take events like economic releases into account using
VCAL) but simplify certain things. On one hand, this is done because Bloomberg offers premium solutions for more detailed pricing and computations, on the other hand many (large) market makers anyhow use their own in house tools. Most price takers find the solutions Bloomberg offers sufficient, more accurate and automated than they could do own their own, or find elsewhere for that price.