Cache-22 is PPC only, as opening it in a System running on a 68K Mac will quickly tell one, in red. Strangely so, because RAMometer, GaugePRO and even Metronome work, sort of, but without mention of L2 cache. However, your suggestion prompted me to look at Cache Switch CP. The same version (7.0.1?) is installed with System 7.1 and OSs 7.6 and 8.0, and has no effect in this instance.
Something that I forgot to mention above was that, having installed OT 1.1.2 and discovered that 68040 operation of the Mobius card was thereby enabled, I also upgraded (updated?) from the the AppleShare Client 3.6.5 installed with OS 7.6.1 to AS 3.7.4. The 68040 was immediately disabled again. Pressing on like a good soldier I then installed AS 3.8.3 (the version recommended by Apple for 7.6.1 in artnum=16145), which runs happily under 7.6.1 with either a DayStar 50MHz PowerCache card or a Turbo040. The Mobius card was again enabled.
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Erratum: 'Carrera' corrected to 'Mobius' in second-last line