No-sorry but the razor is my own-I bought it.I would never think of going into barber shop and using their tools to shave myself.
The shoe shiner is placed in the room for my use while I am a guest-I do not go into a shoe repair store,use their equipment and shine my own shoes.
Those are analogies fitting your actions.
Why would anyone think the luggage carts are there for guest to use themselves in a full service property?
You used the hotels equipment without authorization,got called on it,and tried to save face by proving you were still man enough to tote your own bags

And luggage carts have been used by bellmen since the turn of the century in hotels-Do you have visions of hired guides toting your bags on their backs?
Your comment"or make them carry my bags the old fashion way and earn that tip"suggest that.