Doesn't that sound nice?
I also worked with other prison employees who monitored these phone calls. Many of them were called "grooming" calls, where an inmate praise the callers and then would ask favors, often illegal activities, from those called. There were regular prosecutions of prison guards as inmates "groomed" them into doing something illegal to prove love or loyalty to that inmate. Sometimes, it was just a game that bored inmates would play with gullible guards just to see if they could turn them into criminals. I saw it happen time and time again, watching guards turn into prosecuted inmates.
Whenever I hear the phrase "unconditional love", I recall that inmates would often use such phrases to "groom" a future victim - "If you really love me unconditionally, you would do this thing for me." The favors would start with innocent requests and then move up to something unethical, then illegal, the game being how far you could get a victim to go. I don't hear just the voice of a pleading inmate, playing a "let's get them in trouble" game, I hear manipulative children extorting their parents. "You won't punish me for something horrible I have done. You will shield me from the authorities because if you don't, you must not really love me and that makes you a terrible parent/friend." And the victim usually does what is requested, just to avoid appearing or being accused of being unloving or not "proving" their love.
This is why the use of "unconditional love" used in glowing talk just turns my stomach. I know people who are doing prison time for being baited into compromising moral requirements by looking the other way or doing an illegal act. People who appeal to such a term are either being groomed by evil forces or inviting evil to play around them with impunity and excuses until they are destroyed and helping others to also be destroyed.
We don't become better people by hanging around those preaching unconditional love. You don't have to be a better person if those around you fail to hold you to a higher standard. God wants better out of you and your "loving" parents should want better from you as well. There is no room for excused behavior and attitudes that want no more than a mediocre lack of effort - excused people don't improve and don't grow into better people. Let it and them slide and people will slide as low as people's "love" will tolerate.
I hope you are as suspicious of such talk as I have become.