If a Captain trusts the FO to fly the aircraft - has faith or belief in the person, then is there any difference in the nature of ‘trust’ in automation?
Of course not, as a philosophical matter ... however, a pragmatic concern with the above statement relates to the competence with which the Captain can take over from a deteriorating situation (whether F/O or A/P) and save the day ... ?
Providing that the Captain understands and recognises the practical limits of competence of either his/her F/O or A/P ...