Apparently those exist, and they have the benefit of eliminating the below-par teal (blueish green) reproduction of cool white LEDs. Those often have a bit of a gap between the pump diode direct radiation, and the YAG phosphor emission. And of course no blue emission above 440nm.

Has anyone ever seen this technology in real life? I attempted to buy some from Aliexpress - wide range LEDS supposedly putting out the whole 340-800nm spectrum. Of course i was sceptical and i don't expect much from 10 leds for €3,29 shipped to the Netherlands, but i do wonder if there are actual reliable sources, and if this technology is already in use somewhere.

What i received were bog standard plant grow leds with the 450nm pump diode and a red phosphor centered around 650nm.

GE did 405nm pumped high CRI white LEDs very very long ago under the trademark Vio LED. Probably forgotten now. 2009 story...

Violet and UVA pumped WLEDs would of course lose in efficiency to classic WLEDs considerably due to extra Stokes shift and extra conversion in blue light.

Indeed GE's VioLED is the only one I am aware of which became commercially successful, for a short time.  There was another company in Mexico that briefly produced A-line retrofit incandescent lamps with the same technology of a remote phosphor coated glass bulb around UVA LED emitters around 2012-2015, but they also quickly disappeared, and I forget the name.  UV-pumped technology is considerably better in terms of colour quality and colour stability, but has the penalty of higher cost and lower efficacy.  During the mid-2000s LEDs were developed with a view to achieving much greater performance than is commonplace today, until manufacturers realised that actually selling price and energy efficacy are the only things most consumers care about, and many of the innovations aimed at better quality of light had to be abandoned.

Aah damnit.
Near zero chance to find them to add to the collection, i guess. Even 'plain' remote phosphor ones are hard to find locally.

By now UV and near UV leds have gotten pretty common so i guess it should be possible to see if production would be economically possible these days - if the efficiency would be acceptable.

It would be fun to experiment with remote phosphor stuff as a hobbyist, but so far i haven't come across vendors of the right phosphors in hobbyist amounts.

E: found this: https://img.archilovers.com/blog/3648_01.pdf
A CRI of 70 and 85 isn't that great in today's context. But i know for certain (i have some 2003...2009 LED lamps) the 80 cri common warm white-ish LEDs are absolutely ugly so they could definitely have been better than what was on the consumer market at that point in time.

Either way, i'd like to add somethng like this to my collection of oddball or historically significant LEDs. Same goes for the pre-Nichia era blue LEDs.