I didn't really farm strikes yet since RoI dropped, only 2 or 3 in a row. But I always have a key.
I don't use it often, as I have all exclusives. I use it when I need 1 specific item at a good light level to infuse.
The thing is: as long as I have one (anywhere, vault or on any char) I don't get a new key. Once I used it, until now a key drops within 3 strikes ...
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I've had keys drop when I already had one or more.
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Good so there's hope :) I usually get mine in 320 strikes as well
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One drops within 3 strikes? No. Yesterday morning I did 4 heroic strikes in a row. No key. I then went and helped a friend finish the normal strike portion for the current book. We did 10 strikes in a row. Neither of us got a single key. Later on, I was helping my girlfriend run some heroic strikes. We did 6 in a row. No keys. Have Xur or the Speaker sell either the keys or key fragments. Preferably keys. Right now they are more rare than strike specific items. To top it off you need one to finish Thorn. A quest that requires double RNG.
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Same crap luck here, only had one key drop so far :(