Speaker stand project

After cleaning out the barn workshop, I reduced my stock of lumber but saved some interesting bits.  My plan is to build some speaker stands for a pair of vintage JBL L19's.  Yes, I know that these aren't anything great, but it's for a third system and they have sentimental value.  After some research, I concluded that I should use a taller stand than the one commonly shown in JBL photos which is about three inches off of the ground and tilted back.  To raise the tweeter to listening position, I will need a stand that is approximately 27" tall.  After some searching for design ideas, I am hoping to build a modified version of this:

My question is whether four feet on the ground is any different from a platform on the ground - as is used in many designs?  Obviously, some of the stick or pole designs need the lateral support, but I see platforms on other designs as well.  I guess that the added mass of the platform could make some difference.  I will be using some fairly heavy pieces of wood including a two inch thick maple top.  I will  install an adjustable spike on each foot (for leveling primarily) and to get through the carpet.  This will be more of a furniture building exercise than an audio upgrade, but I hope that I won't be making the sound worse by raising the speakers.  Any thoughts regarding the design or the proper height for these speakers will be appreciated.