It looks like the Museum does have the 6 pin versions of Micrologic G-type in their collection.
If you zoom in on the photographs of the chips, in this advertisement (pdf) the G-type chip there is also identical to yours. But there seems to have been a very short period of time when this version was made. These chips sold for about $120 at first (equivalent to $1100 today), but the prices came down rapidly as the volume ramped up -- for that we should thank Apollo and other government orders, where cost was of secondary importance.
What is interesting from reading the oral histories of participants (and also from Bo Lojek's book), is that the management and sales people at Fairchild opposed the development of integrated circuits, because it was getting in the way of their main business -- selling transistors. The main creators of the chip technology left, some sooner, some later, and started other companies. Only reluctantly Fairchild embraced the integrated circuits.
It is one of the many such episodes in the history on semiconductor industry, in which in retrospect the position of the management may seem dumb. But in the heat of the moment it is extremely difficult, (probably impossible), to know what is a better strategy -- to persevere with the amazing product that you are already working on (in the case of Intel it was memory) or to divert efforts to an even more amazing, but also riskier novelty (microprocessors).
Similar things have happened many times both before and after the i4004.
The notorious one is the creation of technology for making chips by Jean Hoerni. He offered the project to his superiors, but was explicitly forbidden to work on it -- because company's business (transistors) was already sufficiently important and innovative -- and from management's perspective deserved full attention. Jean worked at nights, and on his own developed all the basic steps for what became a common way to fabricate chips ("planar process"). [For more details, see "History of Semiconductor Engineering" by Bo Lojek]