Doffy low diff sure burgess has shown good physical feats ... But he's not physically stronger thenn jozu so... I see no reason for burgess not to be restrained by Doffy who has been nerfed (has not used parasite once since bellemy)
Also look at it this way burgess didn't go after luffy till luffy was heavily handicapped ... That leads me to place luffy over burgess simply because it seems as if burgess was not sure he could take luffy on his own at full health etc. Gear 4 etc.
Also I have no reason to believe burgess is still blackbeard 1st mate I think it would b shillow or tht guy who made an appearence at the shuchibanki meeting plus blackbeard seems to value ppl for strength (as seen when asking ace to be apart of his crew) so if he finds someone stronger the other will b replaced in terms of rank
But yeah I feel Doffy low diff
By feats and portrayal (hype etc)
Doffy has better speed haki strength stamina durability etc .