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 (
    2656, 800, 799, 2667, 804, 801, 1495, 
    2532, 2806, 803, 802, 1998, 2408, 1329
  ) 
  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 0.00084

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "19.61"
    },
    "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": 28,
      "rows_produced_per_join": 28,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2656,800,799,2667,804,801,1495,2532,2806,803,802,1998,2408,1329)) 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": "16.81",
        "eval_cost": "2.80",
        "prefix_cost": "19.61",
        "data_read_per_join": "47K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
799 paket-fasovochnyy-25h40-8-hdpe 302/310
800 paket-fasovochnyy-25h40-pnd-12-zp-1-10 302/310
801 paket-fasovochnyy-26h35-hdpe 302/310
802 paket-fasovochnyy-32h40-11-stk 302/310
803 paket-fasovochnyy-32h40-8-hdpe 302/310
804 paket-fasovochnyy-32h40-hdpe-zelennaya-8 302/310
1329 podarochnye-pakety-30h3010-h20-iz-myagkogo-plastika-zhenskiy-miks 302/381
1495 paket-fasovochnyy-30h40-12-zp 302/310
1998 paket-fasovochnyy-3240-pnd-smaylik 302/310
2408 paket-fasovochnyy-32h40-yunik 302/310
2532 pakety-fasovochnye-3040-pnd-dlya-hraneniya-produktov-plast-11mkm-8000-shtuk-zp 302/310
2656 pakety-fasovochnye-2540-pnd-dlya-hraneniya-produktov-evro-blok-11mkm-pnd-800-g-yunik 302/310
2667 pakety-fasovochnye-2540-pnd-dlya-hraneniya-produktov-evro-blok-pnd-800-g-smaylik 302/310
2806 pakety-fasovochnye-3240-pnd-bio-10up-mesh 302/310