The free inspections are usually very basic checks and really are designed to get you to come back and spend some more money with them. Most of the tasks they are performing can easily be performed by you.
Is it beneficial? It can be. Some people are at a point in their life where climbing up a ladder or crawling under a trailer just isn't a good idea. Some people are their own worse enemy when it comes to finding and fixing issues. At a minimum the inspections usually highlight points of failure and come with an offer to fix them. Take issues found with a grain of salt though, it is the dealer after all. Find out if the suggested work is truly necessary before agreeing to have it performed.
If you're capable of maintaining the trailer yourself then it's worth learning how to inspect and fix things. The owner's manual is a good starting point. You can find how to do essentially every maintenance task online, watching YouTube videos, or ask questions here. A dealer in this area does the free inspection thing and here's what they do.
1. Check Interior and Exterior for damage, delamination, oxidation, etc.
2. Check frame, axles and suspension for damage, cracks, loose fittings, and excessive.
3. Check age of tires and recommend replacement if 5-7 years old.
4. Check tire pressure and set pressure as needed.
5. Check lug nuts to see they are properly secured and at proper torque.
6. Check spare tire for proper size, inflation and condition.
7. Visually inspect roof, seams and sealant for damage, cracking, dry rot, wear, mold, mildew, or missing sealant (MOLD & MILDEW CAUSE RAPID DETERIORATION TO RUBBER ROOFS)
8. Inspect roof vents for damage, fit and sealant.
9. Inspect A/C shroud for damage, dry rot or improper fit.
10. Inspect underbelly for holes, cuts or damage due to road hazards and whether secure.
11. Inspect the slide-out rubber seals, wipers, and toppers for damage, dry rot, cracking or peeling. Check slide-out alignment.
12. Inspect awning for dry rot or tears; check hardware for damage and improper operation.
13. Check battery for proper charge, fluids and connections.
14. Check all exterior lights, lens, and mounts for proper operation.
15. Inspect Air Conditioner filters for proper operation.
16. Perform LP Gas pressure leak.
17. Inspect LP tanks, connections, gauges and mounts.
18. Inspect gate valves and dump connectors for damage or wear.
19. Inspect the 7-way and 4-way trailer connectors and cable for corrosion or damage.
20. Inspect hitch coupler components for wear or damage.
21. Inspect safety chains and connecting mechanisms for weakened, damaged or corroded condition.
22. Inspect propane gas detector for proper operation.
23. Inspect smoke detector for proper operation.
24. Inspect carbon monoxide detector for proper operation.
25. Check fire extinguisher for easy access and proper charging.
26. Check 30/50 amp power cord for damage or improper operation.
27. Check the exterior step hinges and brackets for corrosion or damage.
28. Inspect ladder for damage and for tight, proper attachment to RV
29. Check exterior compartment doors and access doors for proper operation or damage.
30. Inspect refrigerator and hot water exterior components for damage, corrosion and missing items
31. Check break-away switch for improper mounting or for damage.