SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    1280, 2378, 2584, 2550, 1485, 1900, 827, 
    826, 2207, 1940, 1493, 1659, 2017
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00090

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "18.21"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 26,
      "rows_produced_per_join": 26,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (1280,2378,2584,2550,1485,1900,827,826,2207,1940,1493,1659,2017)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "15.61",
        "eval_cost": "2.60",
        "prefix_cost": "18.21",
        "data_read_per_join": "44K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
826 palochki-dlya-edy-230mm-100-par 267/568
827 palochki-dlya-edy-230mm-zubochistka-100-par 267/568
1280 350h150h450-paket-bumazhnyy-s-kruchennymi-ruchkami-kraft-70-h200 267/391
1485 paket-s-pl.dn.-b-p-115100-zhvs-40-g-f.3000-fri-80gr-tek-pak 267/270
1493 ugolok140-bzhn-p175140-bez-pechati 267/270
1659 korobka-dlya-kartofelya-fri-120gr-90h55h133mm-extra-green-bez-pechati-eko-50 267/397
1900 paket-ugolok-2258040mm-vpm40-hot-dogpech 267/270
1940 chasha-sup-salat-kraft-500ml-500sht-1050 267/396
2017 200h70h55mm-750ml-upakovka-eco-pillow-kraft-gdc-rolly-rossiya 267/370
2207 supnica-340-ml-d-75-mm-niz-d-94-mm-verh-vysota-84mm-s-pp-kryshkoy-d-94-mm-komplekt-kraft-60360 267/396
2378 paket-bumazhnyy-s-ploskimi-ruchkami-kraft-iz-pervichnogo-syrya-350-h-150-h-450-mm-aviora-1-200 267/573
2550 320200340-paket-kraft-s-kruchenoy-ruchkoy-70g-m2-200sht-kor 267/391
2584 320200370-paket-kraft-s-kruchenoy-ruchkoy-300sht-kor 267/391