Actually, GE makes (or used to) 240V straight rated single pole breakers, THQL1215 & THQL1220 for the 15 and 20 amp respectively. The slash rated version is THQL 1115 & 1120 respectively. I'm fairly certain GE was the only manufacture to have straight rated 240V single pole breakers in their lineup and from my understanding they are no longer manufactured, a few websites have them listed as available for around the $100 ballpark as of November 2025. These GE 240V single pole breakers are extremely rare, much moreso than a straight rated 240V two pole breaker of which is available from all the major manufacturers i.e. Eaton, Square D and Siemens although it's likely they will have to be ordered directly from the manufacturer as few electrical supply stores keep them in their stock offerings.
The GE THQL 1215 & 1220 was used in super rare scenarios typically for HID high bay fixtures with quad tap ballasts which can be configured for 120/208/240/277, with a few ballasts having a 5th tap for 480V. In this application the use of the high leg to neutral eliminated the wasted space in the panel which would otherwise leave every third slot empty or occupied by a three pole breaker, but usually in this situation you'd opt for a straight rated 2 pole and configure the ballasts for 240V because the fixtures will pull slightly less current thereby reducing voltage drop and heating of the conductors. Alternatively one could use a straight rated 2 pole and run a neutral with the circuit and have two lighting circuits, one at 120 the other 208V.