Satzrn over natal planets?

It does not negate the planet’s influence, but it can weaken it.

During these periods, it is recommended to keep your energy levels high and strengthen the chakras that are in contact with Saturn.

After these transits if handled correctly you may experience significant personal growth and development.

It doesn't but it can definitely act in a harsh manner if those planets aren't strong and especially if there are hard aspects.

The effects you described, especially the one coming from the aspect to the Moon, are textbook interpretations for transiting Saturn in aspect to those planets.

I would like you to reflect on something, though.

In every transit chart, you will find Saturn and in most cases it will be in aspect to a planet. Everyone has that throughout their entire life. So, why do you think some people get negative effects at times, while others get positive ones at times?

Saturn makes a full lap throughout everyone's chart multiple times in their lives. Some get 3 laps, some more long-lived people get 4. Saturn goes through all aspects (conjunction, trine, square, opposition, sextile, etc) to every planet in everyone's birth chart. Does everyone get depressed every time transiting Saturn aspects their Moon or Mercury?

The people next to you while walking on the street may have those aspects right now, yet they may be having the time of their life, or just be in a period where they have "regressed to the mean", and Saturn is affecting them in other ways or they may have learned to accept slower situations and hardships in life as a given, because they're part of life for everyone, and they have had enough experience to deal with them without falling into a depressive state, or they may have rectified factors in their background and life to a point where their emotional state remains unaffected, or they may even be sociopaths, or they simply find it exciting and joyful to be challenged, overcome those challenges and hardships, or be under high pressure.

You do not evade Saturn.

I'm not trying to be harsh here. This is a force in life, a living force embed into material experience alongside the forces of every other planet.

Instead, you learn to use it to your advantage. You see what the transit is going to target, and you prepare in advance for it, with all the emotional, mental, physical, and spiritual growth it require. When it arrives, you come prepared to deal with the challenges it brings. You tell him "Look, Saturn, this is what I've done grow and prepare for the situation where you're testing me. These are the structures I've built. This is the power I've consolidated. This is the knowledge I refined into wisdom. My heart can know handle this situation. My mind can too. Thank you, master, for giving me the opportunity to learn all these things and advance. I'm a more mature person now." And you tell your Guardian Daemon as well, you tell Father Zeus, and you watch yourself proud of how far you've come. It doesn't matter if you patience gets tested, if you're heart shaken. You manage it with stability.

This all may sound wishful thinking to you, but what harm is there in trying to apply it? Are you going to lose something by developing yourself?

If you're convinced, do a Jupiter square to "offset" Saturn. What will happen, if you pay attention, is that Jupiter will provide you some of the tools for your growth. Same if you do a Sun square to "offset" Saturn.

Our beloved High Priest has written about the Anti-Suffering Powers of the Zevist. I suggest you read it.

Our beloved High Priestess has written about How to Obliterate Saturn, taking an in-depth spiritual approach to dealing with planet.

If you are depressed, it would be best to speak to a qualified therapist: they are trained in psychotherapy and they can help you the deep work necessary not only to identify which areas of the present and the past have led to how you're feeling, but also in taking practical steps to heal.