Yes, those look better.

If you aren't using a crimp tool, solder is better than, say, bending over the tabs with pliers (which I have been known to do when a crimp tool isn't available). In that case, treat it as a soldered connection, nothing more -- don't expect it to be reliable under stress.
If you are, inspect the joint. Verify that all strands are tightly retained, the wires don't pull out, etc. A proper crimp should be almost as strong as the metal it's made of. The gold standard of course is a metallurgical section (pot the crimp in resin, cut and polish a cross section, inspect under microscope). Going quite that far isn't exactly practical or necessary, but you can still use that perspective as a basis for understanding and inspecting the result.

Tim