I'm with grounded 27 on this.
I take it to mean that all protections needed for Cat III ops are in place. If the weather is legal for your Cat I then go for it. Just remember runway exits and taxiways will be set up for LVP's, so for example, you can only come off the runway at specific (lit!) exits (normally yellows and greens).
In low vis, if Cat III ops are supported, we normally carry out a Cat III approach and landing, even if the currentr minima allow Cat II as the RVR's can go up and down like a yoyo.