I have no problems with that, but if you want to know how the RAI works, I'd ask the guy that wrote the rule what that intention was. Whether that's how you want to use it is wholly at the DM's discretion.
The sad thing is that such a person probably doesn't exist. The person who wrote the rule that a life cleric multiclassing with a druid casting goodberry works how? Yeah, I'm pretty sure if such a person existed they'd have spelled out how it works in one of those 3 rules areas. For a variety of reasons.
Anyhow, life cleric is overrated compared to just defeating the encounter faster. Healing during combat is only worthwhile when it suits the action and resource economy. Which means it needs to be more effective than
1) casting a non-cure spell of the same slot
2) casting a cure spell in combat instead of out of combat
3) using up your action or bonus action
So, a healing word to get an unconscious ally back up when you were just going to do a cantrip or melee? Great.
Using your action to cure wounds someone who _might_ fall down? Eh. Or you could be a tempest cleric and do a maximized thunderwave for 3 - 9 times as much as the life cleric's healing word was going to heal and end the encounter before the enemies do another 3 hits, each of which did more than a healing word's worth of damage? Boy oh boy that sounds better.
Or you could save the healing for out of combat where goodberries, the healer feat, prayer of healing all shine? Or at higher levels where negligible cost healing potions are the new "wand of cure light wounds"?
Offense wins over defense in most editions, and defense that results in less damage taken and fewer spell slots used wins over healing in almost every edition. Healing sure does _feel_ like it's awesome, when not even needing healing because the combat was over before the enemies got a chance to act feels a little strange. One of those is clearly more effective though.