In you image, the left one is good for "a few amps", say max 5A. Or peak up to 10A at 25c ambient temp for a high-end brand.
The right one can take more current, say 10A over the full temperature range. But only if you can mount it properly. Note that there will be mounting stress on the pcb junctions, and you're dependent on the crimp quality for the generated heat in the junction as well.
You can get the same type of green plug in terminal blocks, but with flat inside connectors, that can take up to 30A for reputable brands.
For example Phoenix Combicon Power (PCV).
In these instances you need to pay attention to the derating factors. For ambient temperature and parallel conductors.
This matters when you're going near the "advertised" maximum rating.
If those details are unavailable, the part is probably not suitable until you've done your own qualification.
Remember ohms law: P = R * I2