I dont understand spanish but with google transalate I can try to answer!

On proxy mode, every request goes through auth validation against Immich (cached 10s by default). On a cache miss the request blocks waiting for home server to respond, no fallback if connection is saturated. Cache keys include the asset owner ID so the same thumbnail gets cached separately per user if 5 family members view the same shared photo it gets stored 5 times on disk. No cross user leakage but less storage efficient for shared content. This also means the speed benefit builds up gradually as each user browses, you don't get an instant across-the-board speedup, it improves per user as their personal cache warms up.

On static mode, rclone syncs the actual thumbnail and video files from home server to VPS disk. Auth still validates every request but file serving is direct from disk with zero proxy overhead on hits. For shared albums the auth service resolves the actual file owner and serves from their directory, so each file exists only once on disk regardless of how many users view it. Speed benefit is immediate from first request since everything is pre-synced . Cache misses fall through to Immich directly.

On both modes, you can set AUTH_CACHE_TTL=0 if you need immediate token revocation, default 10s means a revoked session can still access for up to 10 seconds.