I believe it won't work, because "10.1.53.64" has 10 charachters, while both "9.0.277.0" and "10.0.45.2" have 9. This means one can substitute "10.0.45.2" for "9.0.277.0" without occupying any space not intended for that string (i.e.: it's an isometric patch), but cannot do the same with "10.1.53.64", because the latter is one byte too long. I found out, not so long ago, that such a non-isometric patch breaks Flash 7, so I'm quite confident it'd similarly break Flash 10. And, even if I didn't know about the patching of Adobe 7, generally speaking, non-isometric patches are expected to break programs, and usually really do so.
You could always try 10.0.54.1. It has the right number of characters and should pass the Version test as it is an even newer Version (Future).