Let’s get explicit here.
Take your battery charger and connect it directly to your electronic gizmo’s DC wires with no battery involved = Very Bad.
Take your Battery Tender and connect it directly to your electronic gizmo’s DC wires with no battery involved = Very Bad, potential to be worse than a battery charger.
Connect the battery charger/tender to a battery, any good battery, THEN connect the electronic gizmo to the battery = Good.
Most brute force battery chargers output ½ wave AC with some current limiting. The battery acts like a giant capacitor and filters the charger’s output, resulting in DC with perhaps a lot of ripple (AC) riding on top of the DC.
Battery Tenders sense the condition of your battery – but wait, there is no battery, only the electronic gizmo. If the Battery Tender decides your gizmo needs to be de-sulfated, your gizmo may very well release all its magic smoke in response. A battery tender senses battery voltage – but wait, there is no battery, so the Tender no longer knows how to regulate current until it sees a small voltage drop, the way a battery would normally respond to charging.
When you hook a charger directly to any electronic device without a battery being involved means that the electronic device’s internal noise filtering components have to eat all the AC from the charger. Your gizmo's input filter will have to do this while attempting to clean up the charger’s output voltage enough for internal consumption. This will beat the snot out of the electronic's input filter.
But wait, you say you have done this very thing and everything works fine... A man climbed up the stairs to the roof of a 6 story building. Then he jumped off the roof. As he passed the second floor, the person sitting next to the open window distinctly heard the jumper say, “So far, so good!”