Pretty much, yes. There are actually 2 conditions that must be met to retain a player from the rule 5 draft
1) keep the player on the 25 man roster the entire season following the draft. Players on the 10 and 60 day DL are still on the 25 man roster.
2) the player must be active for a minimum of 90 days (i.e. not on the disabled or any other inactive list). These 90 days can occur over as many seasons as necessary, as long as rule 1 is followed.
http://www.baseballamerica.com/majors/ask-ba-deciphering-disabled-lists-rule-5-draft/#XxsOwEjEdhoBsGFD.97