No way, those batteries are not designed for that kind of 'high' (relatively speaking) current.
mAh ratings are not a 1-size-fits-all spec unfortunately. For example different batteries can handle current spikes better than others, etc etc. So even though 2 batteries may have the same mAh rating, they wont perform the same even under the same load conditions.
Those button batteries are meant to deliver very low currents (<200uA for example) for a very long time. If you're pulling a continuous 20mA, those batteries will hardly last any time at all. I'd be surprised if you get a couple of hours out of them, but there's no real way to know how they'll perform under those conditions without trying it.