Yes it is. But I never ever solo a bridge pup on any bass. On all my two pup basses I always run the tone knob less than half up, the neck pup at least 75% up and then dial in the bridge pup as needed to add definition and clarity to the notes (usually well under 50% up). And I usually play over the neck pup and up to the last fret. So that pup location works perfect for me. I like my bass to sound like a bass, not a baritone guitar.
But now that you've mentioned it, I have plenty of spare time on my hands, I'll plug my Anniversary Bird and the Tele into an A/B box and see what setting on the bird most closely approximates the Tele bridge pup in solo mode with the Tele tone knob off, centered, and maxed. I haven't done this before so should be interesting.
Well that was an interesting experiment. Here's the findings...
Neck Pickup - volume setting full on, tone set at zero
Both basses sound virtually identical on the open E, A, and D strings with the Gibby slightly brighter on the G string. Tele volume is very linear from 0 to 10, no effect on tone and much louder than the Gibby in every setting until the Gibby volume hits 10. At that point the Gibby jumps up over the Tele in volume and the Gibby tone becomes noticeably brighter (even with tone knob still set on zero). The max tone setting on the Tele was about equivalent to the 8 tone setting on the TBird.
Bridge Pickup - volume setting full on, tone set at zero
Again both basses sound virtually identical on the open E, A, and D strings with the Gibby still slightly brighter on the G string. On this Pickup the Tele is much louder in every setting but the Gibby gets closer at max volume. The max tone setting on the Tele was about equivalent to the 8 setting on the Gibby.
Conclusions
If you normally play a modern Gibson TBird on a tone setting of 8 or less and play either Pickup on a volume of about 8 or 9 you'll likely find the TBird indistinguishable from the Tele MP. If you play the TBird at any of the lower volume settings it will sound thin as compared to the much beefier Tele at the same setting. The TBird is capable of going slightly brighter than the Tele If you max out the birds tone knob but it's not as much of a difference as you'd expect. Where the TBird starts to differentiate itself from the Tele is when you turn the volume of the bird past 9 to the max. It's then that the TBird throws away any linearity and makes a noticeable mid and upper mid tone bump and perceived volume increase as well.
In other words, To get the most balls to the wall sound out of your bird just max only one of the two volume knobs (more likely the neck) the tone knob and other volume knob really won't help or hurt much where ever they are set. In nearly every other setting the Tele MP matches or bests the TBird.
So there you have it, the Fender Telecaster Modern Player is pretty much a mocking bird capable of delivering nearly all of the TBird greatness, except in a bulkier, less sleek and more clunky kind of way. Get one if you want to retain your TBird sound roots but visually look like every other bass lemming out there.