Basically it comes down that you never designed a proper BR design.
They all have their pros and cons, even closed designs, dipole and cardioid.
Again: 100% agreement (And for the record: I coined the concept "Audio-homeopathy" :-)
But there is a physical difference between BR and TL, and it largely amounts to TL using/wasting electrical power to improve the pulse-response in the bass domain.
And given that TL is hard to design, demands a lot from the woofer, have low efficiency, they are justifiably rare.
But good TL's, like the Rauna Njord, make it all worth while.
I guess yeah.
Although, if you're looking for efficiency I would rather suggest a horn.
The thing is though, nowadays (sub)woofers are made so much better than 40 years back.
But even more is amplifier power that is dirt cheap and small.
So generally I just advice a multi-subwoofer closed system for the lower-end because that also tackles all the standing waves in your room
(Floyd Toole: Sound Reproduction if you want to read more on that)
Even for the high SPL professional audio speakers it is mostly just BR for convenience.
I have designed and made some nice TL speakers in the past, but to be very honest; it's to much work, effort en problems in the end compared to a WELL designed BR speaker.
One thing that is absolutely noticeable are the standing waves and other crap in a TL design.
Like I said, nothing comes for free.