The RB67 film holders use a clutch system for film advancing. Loose film and film thickness will cause spacing problems.
Kodak 400TX old spec sheet listed it as .0045 inch (4.5 mil) thick, measures .005 on my digital caliper, its backing paper measures .003 inch thick.
Kodak TMY 400 spec sheet says .0045 inch (4.5 mil) thick, measures .005 inch thick, backing paper .003 inch thick.
Arista EDU 400 measures .0035 inch thick, backing paper measures .0035 inch thick.
Ilford Delta 400 measures .0045 inch (4.5 mil) thick, its backing paper measures .004 inch thick.
Fuji color film is .0035 (3.5 mil) thick according to its spec sheet.
I have yet to expose any Across or HP5+ but HP5+ should be the same base as Delta.
A .001 inch thick difference in film base will cause spacing problems in mechanical (geared/locking cam) advance film holders and will likely cause problems in a clutch l advance system.