The "someone" you have been speaking to is RIGHT. The OED has numerous uncountable senses of the noun drink, some from as early as 888CE. In the English spoken in the United Kingdom you will hear He brought drink to the party used, every day of the week - well -er as often as there is a party, anyway. I am frankly astonished that it is rarely used as an uncountable noun in America.
1.a. Liquid swallowed for assuaging thirst or taken into the system for nourishment. Also fig.
c1000 West Saxon Gospels: Matt. (Corpus Cambr.) xxv. 37 Þyrstendne
& we ðe drinc sealdon.
c1220 Bestiary 206 Ðe godspel..is soule drink.
c1380 Wyclif Wks. (1880) 14 Þei ȝeuen not drenk to pore þristi
▸c1426 J. Audelay Poems (1931) 7 Þe þorste ȝif dryng.
1523 Ld. Berners tr. J. Froissart Cronycles I. xviii. 21 They
dranke none other drynke, but the water of the ryuer.
1667 Milton Paradise Lost v. 344 For drink the Grape She crushes.
1875 B. Jowett tr. Plato Dialogues (ed. 2) III. 319 The thirsty
one, in that he thirsts, desires only drink.
1.b. esp. as correlative to solid nourishment (meat, food, etc.). meat
and drink: see meat n. 1.
examples from c950 but: 1855 T. B. Macaulay Hist. Eng. IV. 516 The
crews had better food and drink than they had ever had before.
1c. transf. Liquid absorbed or drunk in.
1603 Shakespeare Hamlet iv. vii. 153 Till that her clothes, being
heauy with their drinke, Dragg'd the sweete wretch to death.
1691 J. Evelyn Kalendarium Hortense (ed. 8) 136 If they [plants]
shrivel and fold up, give them drink.
a1800 W. Cowper Yardley-Oak in W. Hayley Life & Posthumous Writings
Cowper (1804) III. 414 The scoop'd rind [of the oak], that seems A
huge throat calling to the clouds for drink.
3.a. Intoxicating alcoholic beverage. Hence in various phrases: Indulgence to excess in intoxicating liquor; habits of intemperance,
drunkenness. in drink: intoxicated, drunk.
1042 Anglo-Saxon Chron. Her gefor Harðacnut swa þæt he æt his
c1340 Cursor M. (Trin.) 2942 Ȝyue we our fadir [Lot] ynowȝe of
1553 J. Brende tr. Q. Curtius Rufus Hist. viii. f. 151v, Hauing
then his sences ouercome wyth drink.
1598 Shakespeare Henry IV, Pt. 1 ii. v. 419, I do not speake to
thee in drinke.
a1616 Shakespeare Macbeth (1623) iii. vi. 13 The two
delinquents..That were the Slaues of drinke.
1659 D. Pell Πελαγος 79 Take heed that your Sea-men see not the
least appearance of drink in your eyes.
1887 H. R. Tedder in Dict. National Biogr. IX. 330/2 With
advancing years Caulfield took to drink.
1890 W. Besant Demoniac iv. 46 Not a drop of drink of any kind
shall be put on board that boat.
1894 H. Caine Manxman 284 Heaving into the hall like a man in
1897 N.E.D. at Drink, Mod. Drink's doings.
4. The action or habit of drinking (to excess); a time or occasion of drinking. rare exc. in colloq. phr. on the drink. Cf. drunk adj.
1865 Reader No. 148. 495/1 He has been out on the drink.
1887 H. R. Haggard Jess ii. 16 Her brute of a husband was away on
the drink and gamble.
1894 R. S. Ferguson Charters Carlisle xxx, There was a great drink
in Carlisle that night.
6. colloq. (orig. U.S.). A river or body of water. big drink n. the Mississippi; the Atlantic; the sea. Always preceded by the.
examples from 1832 - the most recent being:
1960 L. Meynell Bandaberry xiv. 183 [He] had fished us out of the
drink just, and only just, in time.