Among Reeves, the other Reeves, Reed and the rest, which are suitable for use in puzzles?

Some cabinet members have names that offer little to the crossword setter: I’m thinking of Liz Kendall, with her paucity of vowels, her surfeit of Ls and that nice-in-Scrabble nasty-to-clue duo K and Z. Others have decent letters but fail the “Can you expect the solver to have noticed them?” test: the letters in the name Steve Reed offer EVEREST and the surname of the chancellor but the environment secretary himself remains less than ubiquitous.

Perhaps Wes Streeting will prompt a setter to answer the subliminal question “how do you street?”; in the meantime, some ministers have had cameos and some are nearly celebrities of crosswording.

1a Sweaty Conservative confronting Labour politician (6)
[ wordplay: abbrev. for ‘Conservative’ next to (‘confronting’) surname of Labour politician ]
[ C + LAMMY ]
[ definition: sweaty ]

8d/23d Change it: MP Angela Rayner at one working on private bills (13,5)
[ wordplay: anagram (‘change’) of IT MP ANGELA RAYNER AT ]
[ definition: one working on private bills ]

13a Needing regeneration, Reeves leading the way – it’s most brutal (8)
[ wordplay: anagram (‘needing regeneration’) of REEVES before (‘leading’) abbrev. of ‘street’ (‘the way’) ]
[ SEVERE + ST ]
[ definition: most brutal ]