RegExp - Matching comments doubt

Suppose I have:

<!-- two
lines --> ?

This works:

g:/<!--\_.\{-}-->/ delete

But why isn't

:g/<!--\_.\{-}> /delete

deleting until the >

Also, If I try to delete until the last > in the file:

:g/<!--\_.*>/ delete

is not deleting until the last >. I don't understand why...

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