Being the owner of an 02 5.3 which currently resides on my engine stand I can state with absolute surety that the 5.3 has a different bell housing bolt pattern than either the 350 or the 700R4 or the 200R4 transmission versions. All of these have 6 bolt flanges or ears that are located symmetrically around the perimeter of the bell housing. If you were to attempt to hang any of them on the back of a 5.3 you would discover that the uppermost bolt on the passenger side of the t-mission bell housing has no hole into which it could be threaded. For some reason the architecture of the block was changed so that that hole at two clock is now located at twelve. I found this out when I went to hang my engine stand mounting plate on the back of the block and found that only three out of the four mounts would line up. I was able to shift the out of alignment mount over to catch the fourth hole so it all worked out but...........................
The oddest part of all this is that the boss for that mia hole as it ought to have been located is, in fact, there. It has just never been drilled or tapped! You could mount up the t-mission and use a transfer punch to mark the boss for drilling but unless you are stone accurate when you drill the hole, get it just deep enough that it doesn't break through into anything internal, and tap the threads just precisely so, then you may be worse off than when you started.
I seem to recall there being an adapter plate kit of some kind being offered that would bridge the gap so to speak. Only thing there is that it would have to include some kind of snout adapter for the converter and spacers of some kind to bridge the gap between the flex plate and the mounts of the converter. Not sure how strong that set up would be under major torque application.
Nick