Though, yes, convention does play a role. On ARMv8 you get both SVC <imm> and BRK <imm>. SVC and BRK raise different exception codes (which satisfies the "easy to distinguish requirement) but in principle you could just use BRK with a well-known immediate and eliminate the need for SVC since BRK's immediate is reported in the exception status register. And, anyways, if you have an SVC instruction and a BRK instruction, you may as well use the SVC instruction for syscalls since it's right there.
The reason to want a true UDF imm with an immediate comes down to it being pretty solidly guaranteed that it's going to turn into your language/OS equivalent of a SIGILL insn. In theory an OS could by convention allocate some subset of BRK space for arbitrary userspace purposes, but in practice none did, so trying to use BRK gets you dumped into a debugger, or doesn't have consistent behaviour. It's nice for userspace to have something that doesn't need active OS support.