Whether general suffrages avail those for whom special suffrages are not offered, as much as special suffrages avail those for whom they are offered in addition to general suffrages?

Objections

Objection 1 : It would seem that general suffrages avail those for whom special suffrages are not offered, as much as special suffrages avail those for whom they are offered in addition to general suffrages. For in the life to come each one will be rewarded according to his merits. Now a person for whom no suffrages are offered merited to be assisted after death as much as one for whom special suffrages are offered. Therefore the former will be assisted by general suffrages as much as the latter by special and general suffrages.
Objection 2 : Further, the Eucharist is the chief of the suffrages of the Church. Now the Eucharist, since it contains Christ whole, has infinite efficacy so to speak. Therefore one offering of the Eucharist for all in general is of sufficient value to release all who are in purgatory: and consequently general suffrages alone afford as much assistance as special and general suffrages together.