What's the intuition why some conspiracies and attempts are offences, but not others? I'll just list 2 incongruities.
I. Why it's "possible to convict someone of conspiring to commit a statutory offence whose actus reus involves aiding or abetting something", but "conspiracy to aid, abet, counsel, or procure an offence is not itself a crime"?
II. Why are "conspire to attempt" and "conspire to conspire" offences, but not "to attempt [or to conspire] to aid, abet, counsel, or procure"?
The conspirators must agree on a course of conduct which constitutes the actus reus of a crime. It is possible to conspire to attempt or to conspire to conspire. However, a conspiracy to aid, abet, counsel, or procure an offence is not itself a crime according to Kenning.82
82 [2008] EWCA Crim 1534. It is, however, possible to convict someone of conspiring to commit a statutory offence whose actus reus involves aiding or abetting something (e.g. aiding and abetting another’s suicide (Reed [1982] Crim LR 819)).
Herring, Criminal Law: Text, Cases, and Materials (2020 9 ed). p 812.
The following statements summarize the interrelation of accomplice and inchoate offences:
(1) It is an offence to conspire or attempt to commit an offence.
(2) It is not an offence to attempt to aid, abet, counsel, or procure.99
(3) It is not an offence to conspire to aid, abet, counsel, or procure.100
(4) It is an offence to aid, abet, counsel, or procure an attempt to commit an offence.101
99 Criminal Attempts Act 1981, s. 1(4)(b).
100 Hollinshead [1985] 1 All ER 850, 857– 8 (CA). The case was considered by the House of Lords ([1985] AC 975), which did not express a view on Hapgood and Wyatt (1870) LR 1 CCR 221 (CCR) and whether such an offence existed.
101 Hapgood and Wyatt (1870) LR 1 CCR 221 (CCR).
Op cit. p 872.