I'm going to get personal here and voice my opinion as to how I feel about whether or not the quality of your gear will make you a better player. My simple answer would obviously be "yes".
Why would anybody who is truly serious at being good at something, not want the best tools that are available to hone his or her skills?
This topic, however, can be looked at from different angles. For example, guitarists who want to sound like the band Boston, would want to play through Rockman guitar amps. If you want to sound like the guys that played through "the Marshall" then you get one of those. The thing that happens with amplifiers like this is that no matter how many different players plug into a Rockman, in the end, they are all going to sound a lot like the same player.
If you are a beginner at playing guitar, and you plug into a device like the Rockman, for example, you automatically have the notion of almost sounding like you know what you are doing. This is because the other guitar player, with very refined skills, was plugged into the same device, will be facing the same limitations as you, with this piece of equipment.
This is where my amplifier comes into the discussion. When a player who has very refined skills, like Shawn Lane, plugs into my amplifiers, they are blown away by the fact that the ball and chain of other people's sounds are no longer in the way of their refined skills and can now begin to create their own, completely individual voice with their guitars.
This has been one of the main design concepts for me since I started building amps a long time ago. I always knew I wanted to build amps for really great players, and provide them with something that allows them to create what they want. This amp is so sensitive to the input and control and attitude (mad skills of a great player) that it allows them to have total control over how they sound. If they want to sound like themselves, it's all there. If they want to mimic someone else, then they can use the skills they have in their hands to do that also.
So here comes the WARNING: This amp, is not "Shawn Lane in a box". You cannot hide behind anything playing through this amp. This amp will require you to ask it what to do. You will have to use your skills to get the goods. If you already have all the skills, the second you play through this amp, you will be digging in and pulling out whatever it is that you want from it.
OK, so now am I saying that a beginner should not own a 10^n? Absolutely not. If most players who now have a boatload of skills did not waste a whole bunch of years playing through inferior amps that hindered them from developing skills as an individual player, they would have been where they are now a whole lot sooner.
So this is the debate on whether or not quality gear is going to make you a better player...
As you can see, it's more complicated than whether the gear is simply "quality" or not, What it's really about is your attitude toward what kind of player you want to become. If all you ever want to do is become a "copycat" player who sounds just like all those other guys, then go after that kind of equipment. But, if you are committed to accepting that you control the equipment instead of the equipment controlling you, then you are going to find out that finding your own voice and developing skills to really be in control of your guitar playing requires a lot of hard work.
If you are ready for this, then the 10^n is the last and only amp you will ever need.
If you are the one who already has all the mad skills, then you really need this amp.