There are two tips I would give to help as well:
Buy a Green gun with Shoot And Loot - you can pick up ammo at distance and it sometimes give more (4/5 Heavy PER BOX).
If you're running a 32 with Carry More Heavy then switch to any other boots when the Oversoul appears. As long as you do not have more heavy than the normal max you will NOT lose any Heavy upon death.
With these two things in place you can do Crota without using Synths.
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Yea, I do those occasionally. It's just a hassle. Usually I just suck it up. I don't let it ruin my experience. I just got a blue in a drop with shoot ammo, going to level it. In most cases I just lose the one and use a synth. Lately though I'm the designated sword carrier so it's not as crucial.