I happen to be a fan of the "theme and variations" approach to problem solving. In certain cases, a certain question had drawn enough to attention to generate dozens of solutions.
There are some other examples of results having many different proofs but in the literature, I rarely read more than one proof of the same result. In many cases, nobody has taken the time to collect them into one place.
Is "compare and contrast" an acceptable methodology in Mathematics? Certainly it is in other subjects, but Mathematics is about proving new things rather than comparing what is known.
Put another way is collecting many proofs of an important result a meaningful way to spend your time? How do I explain the advantages to others.