I say no.
The confidence achieved in the first solo is of far greater value.
In any case, if circuits are being flown correctly, the student should be reasonably capable of handling an EFATO or other engine failure within the circuit environment. Perhaps not so if he/she's flying those huge bomber circuits and 3 deg approaches so beloved by some schools....
PFLs and Steep Turns should follow circuit consolidation, then the student should be safe enough to venture beyond the circuit on his/her own to practise solo GH. Then and only then should 'Nav Intro.' be taught.
If there's one common failing, it's FIs who rush into teaching navigation before the student has achieved an adequate level of GH consolidation!