You are reading the user manual.
You are not reading copyright licence terms.
The technical name in United States law for what you are reading is directions for use. Almost all (there are exemptions) medical drugs and devices must come with them. You have probably seen them on medications that you have bought. Medical software is no exception. It counts as a medical device and must have them too. (It is known as software as a medical device, SaMD.)
The mandate for directions for use comes from statute, the Federal Food, Drug, and Cosmetic Act 1938, which prohibits:
(a) The introduction or delivery for introduction into interstate commerce of any food, drug, device, tobacco product, or cosmetic that is adulterated or misbranded.
(b) The adulteration or misbranding of any food, drug, device, tobacco product, or cosmetic in interstate commerce.
(c) The receipt in interstate commerce of any food, drug, device, tobacco product, or cosmetic that is adulterated or misbranded, and the delivery or proffered delivery thereof for pay or otherwise.
— 21 USC 331
where misbranding is then defined in part as:
A drug or device shall be deemed to be misbranded—
[…] (f) […] Unless its labeling bears (1) adequate directions for use; […]
— 21 USC 352
and adequate directions for use is defined by Federal regulation:
Adequate directions for use means directions under which the layman can use a device safely and for the purposes for which it is intended. Section 801.4 defines intended use.
— 21 CFR 1.801.5
I leave you to read 21 CFR 1.801.4 for the details of intended use, as it is really too long for this answer.
So a layman software engineer's simplest way of thinking about this is (crudely, and not quite accurately) that this is a legally-required user manual, directing how the software should be used and giving the intended use according to its manufacturer. It is not a copyright licence term. It exists because of a completely different statute to copyright law. More than one law applies to this software.
Research use only (RUO) is also a technical term of the USFDA. From 21 CFR 1.809.10 one can take an approximate definition of RUO as being something that is in a "laboratory research phase of development, and not represented as an effective […] product".
Now whether you obey the directions for use when you have received a copy of the software is a completely different matter, not covered by the aforementioned statute and regulations. They tell the manufacturer what xe must provide with the software to you. If you manufacture, package, distribute, or sell the software in the U.S., then you must do that too. (Per 21 USC 333 it is fines per violation up to USD1,000,000 if you do not.) It's not a copyright term, and a copyright licence does not override it. It's the law for medical devices, including medical softwares.
(At one point, draft guidance from the FDA was that if you do not obey the directions for use on RUO devices, the manufacturer is obliged to stop supplying it to you. But again, this is a rule for the manufacturer rather than for you the recipient.)
Legal restrictions on medical softwares are not specific to the United States; and legal restrictions on softwares are not specific to medicine. In E.U. law, for example, the analogous name for U.S. intended use is intended purpose and the regulations apply to the people who design, manufacture, label, assemble, package, process, or fully refurbish medical devices (Council Directive 93/42/EEC 1(f) and 1(g)) which the E.U. also extends to cover medical softwares.