What platforms are you looking at (and at what time of day)? FX Forwards are not static, certainly for major currencies.
Indicative prices are published to platforms like Reuters and Bloomberg by various brokers and banks periodically, but they are not a reflection of actual trading prices, just occasional snapshots. If you want a current price you have to call your broker.
Watching a single broker source for EUR/USD right now, I can see multiple updates every second, to most of the tenors out to 10y. And that's just the published values which are filtered and rounded and so on. If you aggregate together lots of such sources, you get a much clearer picture of real second-to-second price changes.
Also be aware that banks are more likely to put up prices based on orders they are seeking to fill, with some spread away from the market. If you want more realistic, tighter prices, you need to look at broker feeds.