I found some questions and answers about the performance of Fully and Partially homomorphic encryption. I am interested in a comparison in terms of security guarantees. I understand that there are various schemes for both and so a comparison between specific schemes is equally useful to me.

Is, for instance, Paillier/Elgamal more/less secure than FHE (both allow additions and multiplications)?

Is DET/OPE/ORE more/less(probably) secure than FHE (both allow equality and order comparisons)?

I found some questions and answers about the performance of Fully and Partially homomorphic encryption. I am interested in a comparison in terms of security guarantees (of any kind, formal or informal). I understand that there are various schemes for both and so a comparison between specific schemes is equally useful to me.

Is, for instance, Paillier/Elgamal more/less secure than FHE (both allow additions and multiplications)?

Is DET/OPE/ORE more/less(probably) secure than FHE (both allow equality and order comparisons)?