What does it give you that sticking with a Gibson doesn't after the humbucker is dropped in?
Okay, I've given myself the name of 'guitar slut' before... because I love them all, repeatedly.
Anyway, for me the addition of a Telecaster to my collection was the addition of a unique voice.
(that's my answer to your question). Do you want a unique voice in your music?
That's for you to answer for yourself. I bought a Tele with a pair of Fender hum buckers so the
tone was even more unique than anybody might think.

Fender guitars do NOT sound like Gibsons. So you either want what they can do, or you don't.
With a Les Paul and a Strat, a guy can cover a lot of tonal ground. (but I'm not a Les Paul guy).
The same thing is true with an SG and a Telecaster. Those two platforms can cover a lot of tonal
territory, but it's different ground than that stomped by the Les Paul/Strat guys.
So if one guitarist in yer band is a Les Paul/ Strat guy, and t'other is an SG/Tele player, your band can
cover even more tonal turf.
You can mount a hum bucker in the neck position of a Telecaster and get a unique sound
lots of players have done this: think Keith Richards and Albert Collins for example. Both unique tones.
Not every player is interested in unique tones. To me, a traditional Telecaster is very versatile, and
should NOT be hammered into a box labeled "twang." There's much more to the Telecaster tone
than that. And it's up to the player to discover this. But first, he has to WANT TO.