The base weight of both oils is the same. It’s the ability to maintain viscosity (resistance to flow) at higher temperatures that’s different. The 5W30 has more “viscosity modifiers” that the 5W20. Viscosity modifiers are actually coiled polymers that uncoil as the oil heats up and affect its ability to flow. The problem is that the modifiers don’t lubricate as well as the base oil does.
Look in your owner’s manual. They may both be optional choices. If not, I’d drain and refill, only because I’m picky and I know Honda is too. You can sleep soundly, however, you’ve done no damage. The base weight is correct and the difference between the two is minimal.
There’s a good primer on oils at www.carbibles.com. I recommend a visit.